Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion

Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion

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We happy camper dog shirt consider the effect of time delay and cross diffusion on the dynamics of a modified Leslie-Gower predator-prey model incorporating a prey refuge.Based on the stability analysis, we demonstrate that delayed feedback may generate Hopf and Turing instability under some conditions, resulting in spatial patterns.One of the most interesting findings is that the model exhibits complex pattern replication: the model dynamics exhibits a delay and diffusion controlled formation growth not only to spots, stripes, and holes, but also to spiral pattern self-replication.

The results indicate that time delay and cross 1f2 paint diffusion play important roles in pattern formation.